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A001314 Number of (unordered) ways of making change for n cents using coins of 2, 5 (two kinds), 10, 20, 50 cents. 2
1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 5, 2, 5, 2, 5, 8, 5, 8, 5, 8, 15, 8, 15, 8, 15, 22, 15, 22, 15, 22, 35, 22, 35, 22, 35, 48, 35, 48, 35, 48, 70, 48, 70, 48, 70, 92, 70, 92, 70, 92, 127, 92, 127, 92, 127, 162, 127, 162, 127, 162, 215, 162, 215, 162, 215, 268 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

REFERENCES

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 316.

G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 1.

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 183

Index entries for sequences related to making change.

Index entries for linear recurrences with constant coefficients, signature (0, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 1, 0, -1).

MAPLE

1/(1-x^2)/(1-x^5)^2/(1-x^10)/(1-x^20)/(1-x^50)

MATHEMATICA

CoefficientList[Series[1/((1 - x^2) (1 - x^5)^2 (1 - x^10) (1 - x^20) (1 - x^50)), {x, 0, 50}], x]

CROSSREFS

Sequence in context: A099986 A166478 A050325 * A020733 A210700 A215745

Adjacent sequences:  A001311 A001312 A001313 * A001315 A001316 A001317

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 18 18:10 EDT 2018. Contains 316323 sequences. (Running on oeis4.)